How do you solve $4^ { 3x } = 512$ ?

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Answer 1 · 2016-10-24T14:53:22

Express as powers of 2.

$x = 3/2$

=> $(2^2)^(3x) = 512" "larr$ it helps to recognise the powers of 2

=> $2^(2*3x)$ = $2^9$

=> $6x = 9 " "$ (Equating the exponents - the bases are equal)

=> $x = 9/6$

= $3/2$ Answer.

How do you solve 4^ { 3x } = 5124^ { 3x } = 512?